If two angles are complementary, what is the maximum measure of one angle if the

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Question: If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?

Options:

Correct Answer: 60 degrees

Solution:

Complementary angles sum to 90 degrees. Therefore, if one angle is 30 degrees, the other must be 90 - 30 = 60 degrees.

If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?

If two angles are complementary, what is the maximum measure of one angle if the other is 30 degrees?

Step 1: Understand that complementary angles are two angles that add up to 90 degrees.
Step 2: Identify the measure of one angle, which is given as 30 degrees.
Step 3: Use the formula for complementary angles: Angle 1 + Angle 2 = 90 degrees.
Step 4: Substitute the known angle into the formula: 30 degrees + Angle 2 = 90 degrees.
Step 5: Solve for Angle 2 by subtracting 30 degrees from 90 degrees: Angle 2 = 90 - 30.
Step 6: Calculate the result: Angle 2 = 60 degrees.
Step 7: Conclude that the maximum measure of the other angle is 60 degrees.

Complementary Angles – Two angles are complementary if their measures add up to 90 degrees.